Question

Q.32lf a, ß are irrational roots of ax² + bx + c = (a, b, c e Q), then (A) α = β (Β) αβ = 1 (C) a and ß are conjugate surds (D) a² + 3² 1​

Answer 1

Answer:

For the quadratic equation ax2+bx+c=0,a,b,c,εQ

Roots are given by 

α=2a−b+b2−4ac and 

β=2a−b−b2−4ac

If D=0 then α=2a−b=β i.e. the roots are equal and real. 

Since a,b and c∈Q, the roots will be equal and rational.

Hence, statements P and R are correct.